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Finding the Fourth Proportional to 2,247.84, 3,371.75 and 786.65

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Solution

The fourth proportional to 2,247.84, 3,371.75 and 786.65 is: 1,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.84 : 3,371.75 = 786.65 : x
  2. Step 2: Convert to fraction form
    2,247.84/3,371.75 = 786.65/x
  3. Step 3: Cross multiply
    2,247.84x = 3,371.75 × 786.65
  4. Step 4: Simplify right side
    2,247.84x = 2,652,387.14
  5. Step 5: Solve for x
    x = 2,652,387.14/2,247.84
  6. Step 6: Final answer
    x = 1,179.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.